3 year living in UK rule

Hi,
I am a UK national and grew up in the UK and did my GCSEs and A-levels here.
After A-levels, I did a full time 3-year degree in an EU country and graduated last year. Then moved back to the UK for a few months.
At the start of this year, as I have an EU country nationality too (different from where I studied), I moved to work in that country for a temporary period and now plan to move back to the UK. However, to satisfy that country's requirements for health insurance, I had to complete a HMRC form (to get a statement of national insurance contributions) stating that, at the time of completing the form, I am a resident of that country.
I am now considering moving back to the UK and applying for a masters course at a UK university and masters loan. But I am concerned that living and working in the EU, albeit only for a few months, and particularly due to the previously mentioned form, means I may fall foul of the 3-year residency in the UK rule. Is this the case?

Hi there, when does your course begin? Thanks, Jason

Hi Jason, It would be September 2025.

Thanks. Where was it you were living prior to returning to the UK and when do you plan to return? Thanks, Jason

Hi there, if required, would you be able to provide evidence of the temporary break? Thanks, Stephen.

Hi there, if required, would you be able to provide evidence of the temporary break? Thanks, Stephen.

Hi there, acceptable evidence would be one of the following if requested:
Thanks, Stephen

Hi, thank you for the information!