You must send this Birth certificate BUT! explain situetion about misstakes in names in Appendix
If you need more space for any section, use a separate sheet of paper. Make sure you label this sheet with your name and the question you are answering.
Don't complicate your situation. The more transparent your case is, the better. Believe me, everyone has nuances in their files, it's not scary. The worst thing is to lie.
I think I'm saying the same thing as Belarusian, but to emphasize: not having a document like a birth certificate is very different than just having a typo.
1) Typos, small transcription errors between languages, m/d reversal, small date errors (1897 instead of 1987), or inconsistent short forms of names are not uncommon. If most or all other documents are consistent and there is just one that stands out, they are likely to understand. (Also note that different countries have different rules about the requirements for a legal name change, also some countries have switched alphabets or naming conventions/tansliteration rules multiple times). They are likely to understand if one document says Zebra and another Tsebra (less so if one says Zebra and another Alpha). Street addresses or even city names are also a constant issue - sometimes they change. Write a short note explaining the situation - it doesn't have to be long, just factual - and hope they're understanding. They likely will not send it back as incomplete because of an error (especially if the error is obvious). They might request supporting documentation.
2) Due to covid, they even have a policy about missing documents (that they'll accept the file as is with corrections or supplements later, as needed). If you need a _corrected_ birth certificate and the civil registry is not working due to Covid but you will get it letter, just mention the issue in the short letter of explanation. It's possible they won't require it at all, but you can pursue the corrected version in parallel.
No guarantees, your mileage may vary, but you are NOT the first to have a document with a typo or manifest error.