Freezes and shuts down - HP 14 inch Laptop PC 14-ep1000 (advise please!)

I have a HP 14 inch Laptop PC 14-ep1000 (Windows 11 Home 64-bit Version: 26100.2894) - or so HP assistant says. I bought it fairly recently. I would say about 2 months ago.

Just recently (2 days prior), I began facing these issues. I would be using my laptop and then suddenly it would just freeze. No flickering no nothing. Everything just freezes. I cant use the keys, my mouse doesnt work - just frozen on whatever page i am on.

After this happens, the laptop will shut down by itself. The interval between these two events can be up to 4-5 mins but usually 2-3 mins.

Some things I have notitced:

1) This is the sequence of events: I can use my laptop fine, suddenly freezes, 2-3 mins later it shuts down and goes black

2) I am able to turn the laptop back on. When I turn it back on it turns on "from scratch" (HP Symbol, loading sign)

3) Once I type in my password and am logged in, the fan usually runs really loud. Quite loudly.

4) On the previous note, the fan runs more than usual and louder.

3) I am able to use my laptop again, but only for a set time. That time can vary from 5 minutes to 45 minutes - maybe slightly more. Average time is maybe 15-25 minutes, more on the higher side.

4) Maybe a false correlation, maybe not - when watching videos it seems to not freeze no matter time (again, maybe havent tried long enough)

5) Whilst the laptop is working, all functionalities are working just fine.

6) Does not seem to be a set interval for when it freezes.

7) Only happened one time but had issues even turning it on. Eventually worked.

Please advice. I am just a student and my father buys stuff for me. I feel bad making him spend much. I would like to resolve this without going out if possible.

Let me know if anything else is needed that could help