I need to load one
html page to the web without any server and without paying for this service.
What are my options?
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Try Dinkypage, a service that lets you create disposable webpages.
Here's information from the site's FAQ:
Can I edit my page later?
You sure can! Simply bookmark page with editor and use it whenever you need to make changes. You can also send yourself an email that will contain link to both page with editor and your page online.
When does my page expire?
Absolutely. You can use pretty much anything (even build small websites!).
Please send the page link to email@example.com with a short explanation and after reviewing, it will be removed if in violation.