Schengen days question

Hi all! Wondering if I can check if my travel plans are going to be ok over the summer.

I have a UK passport and got my digital nomad visa approved 21st May 2026

I used up my 90 schengen days on my passport on 19th April, but I submitted my visa application on 10th April so was legally allowed to stay in Spain until I got the response 21st May.

I am now here in Spain and leave to the UK 26th June, I then have plans to travel to Bordeaux 16th-23rd August travelling from and back to the UK.

I want to know whether this is ok with my passport or whether I’ll face issues since I sort of outstayed my Schengen days waiting for the DNV even though it was legal.

Any advice helpful! Thank you!