I have found your issue.

You need to define the "domain" using the "params" flag of the get requests function.

Here is a little snippet that worked for me (you will need to incorporate it into your for loop)

api_key = "YOURKEYHERE"
secret_key = "YOURKEYHERE"

headers = {"Authorization": "sso-key {}:{}".format(api_key, secret_key)}
url = "https://api.godaddy.com/v1/domains/available"
test = get(url, params={'domain':'google.co.uk'}, headers=headers).text
print(test)
Answer from James Green on Stack Overflow
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GoDaddy
godaddy.com › en-ca › domains
Search & Buy Available Domains - Register a Domain with GoDaddy
You can use our search tool at the top of the page to check for domain name availability or use GoDaddy Airo to launch your idea online. No matter what stage of the process you’re at, we can help you grow and build your online presence.
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People also ask

How do I check if a domain is available using GoDaddy domain search?
  1. To check if a domain name is available, simply enter it into the GoDaddy Domain Search bar and hit Search. Upon doing so, you will instantly be shown if the domain name is available for purchase and registration, or whether it is already taken because it is owned by someone else.
  2. If you are wanting more information on a domain name that you are interested in, but that is unavailable because it is already registered, you can find ownership information using the GoDaddy WHOIS Lookup.
  3. If you want to buy a domain that is already owned and registered to someone else, you may consider trying a Domain Backorder service. With this service, you purchase a domain backorder credit which gives you a better chance to secure the domain name you want when it becomes available again.
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GoDaddy Domain Search | Buy and Register Domain Names GoDaddy
How do I find a domain with GoDaddy domain search?

Simply enter the domain name you are looking for in the GoDaddy Domain Search box and then select Search. You will then be shown the status of the domain name you searched for and whether it is available for purchase or not. If the domain you searched for is available, you can select the checkout option to follow the on-screen prompts and complete the registration process. However, if the domain name you searched for is not available for purchase, you will be shown similar alternative names that are currently available to register.

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GoDaddy Domain Search | Buy and Register Domain Names GoDaddy
How do I setup my GoDaddy domain name?
Setting up your GoDaddy domain name is simple takes just a few minutes to set up. You can do everything from viewing domain settings, to managing private domain registration settings, and even adjust auto-renew settings.
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branchleafdigital.com
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GoDaddy Domain Search | Buy and Register Domain Names GoDaddy
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Discover your domain value and worth with GoDaddy’s free domain appraisal tool. Your domain name might be more valuable than you think.
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February 13, 2025 - With GoDaddy Domain Search, you can instantly find the Domain Name that you are looking for. Find your domain name with GoDaddy today.
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All the help and tools you need to grow online: Websites, Domains, Digital and Social Marketing - plus GoDaddy Guides with you every step of the way
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Every domain registered with GoDaddy gets access to standard domain features and functions, including Online Pay Links, free DNSSEC and Domain Privacy on eligible domains.
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New to GoDaddy? Create an account to get started today. ... Use our WHOIS lookup tool to check domain name availability or to discover the contact information of a domain owner.
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Enter as many as 500 domains in the box, making sure to list each domain you want on a separate line. GoDaddy returns two lists: Unavailable Domain Names and My Selected Domain Names.
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How can you check domain availability - GoDaddy Resources - UAE English
October 21, 2024 - GoDaddy, a leading domain registrar, offers an easy-to-use domain checker on their website. Simply navigate to the search bar at the top of their homepage and type in your desired domain name.
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August 5, 2023 - This contact information is then housed in a public directory database that is viewable to anyone who looks up the domain online. GoDaddy WHOIS lookup is designed to help you explore the WHOIS database and learn about informative details on ...
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August 19, 2025 - Namecheap’s strength lies in its straightforward domain services, including free WHOIS privacy and a user-friendly dashboard that appeals to users seeking value and simplicity. ... Disclaimer: Pricing may vary by domain extension and is subject to change. If you’re searching for a GoDaddy domain alternative that blends affordability with ease of use, Porkbun is worth considering.
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New to GoDaddy? Create an account to get started today. ... Check the status of domains transferring to your GoDaddy account to see where they are in the transfer process.
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Quora
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Answer: Can you clarify your question? Do you want know to if a website was built using GoDaddy? or do you want to know if the domain was registered with GoDaddy?
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Reddit
reddit.com › r/webdev › where can i search if a domain exists without sparking the domain pricing up?
r/webdev on Reddit: Where can I search if a domain exists without sparking the domain pricing up?
December 26, 2022 -

I'm looking to see if there is an existing domain. But from thinking about it, these services will increase the domain price since there is demand...

So I'd like to know if I can do it without having this issue.

Also, do domain services like GoDaddy automatically increase the price of the domain you're looking for right when searching for it on their website?

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GoDaddy
godaddy.com › home › how to do a quick domain name check (even from your phone)
How to do a quick domain name check (even from your phone) - GoDaddy Resources - Australia
July 12, 2024 - Select the box to start your website (free of charge) if you’d like. You can always create a website at a later time if you’re not ready now. Create an email address with your domain in it (optional). You can log back into your GoDaddy account at a later time and set this up.