Can you show us the error? It should still be able to crawl / index the part of the page it can load.
Or are you getting the error in fetch /render and submit? There’s a limit how many requests you can submit per day and instead of telling you that in a helpful error message, the captcha breaks and it just stops working. I don’t think it will let you go and do more as another user, I believe the limit is at the property level.
Save that for urgent stuff, like if you accidently deindex an important page.* Otherwise, plan ahead - get a link from somewhere crawlable to the home page and let googlebot do its thing. Submitting a sitemap helps.
*Like the time one of our clients changed their home page and left a “noindex” directive from testing on it.