Hesitation in choosing an academic degree

Hi, how are you?
I have been following your content for the past few years and really enjoy it.
I've been busy lately deciding which undergraduate degree I want to enroll in, and I have some questions that I don't have the knowledge to answer myself. I thought maybe you, as someone who deals with both science and philosophy, could help me.
Thank you very much in advance!

The direction that interests me right now is the world of philosophy. I don't yet have enough knowledge and experience to know which subfields particularly interest me, but the philosophical way of thinking and the essence of the field are very interesting to me.
My question is – could combining a science subject (physics/mathematics) help me become a better philosopher? If so, then only in the field of philosophy of science, or also in other areas of philosophy such as metaphysics and epistemology.
I appreciate that every field you study (history, political science, law) improves you in the philosophical practice of that field, but my point is whether you think there is a broader connection between the practice of science and the practice of philosophy even outside the discipline of that field.
The reason for the hesitation is that I am not a great student of the real world, and most subjects are not interesting enough for themselves (the philosophy behind them does interest me). A bachelor's degree in mathematics/physics would require a lot of investment from me, and since I have no intention of becoming a mathematician or physicist, I wonder whether studying them is essential to studying philosophy.

Another sub-debate is which field is more related to philosophy – mathematics or physics. Studying physics and a scientific understanding of the world sounds more interesting to me than pure mathematical pursuits. Do you think it is important to get a bachelor's degree in mathematics in order to have a deep understanding of the mathematics underlying physics, or is it possible to engage in philosophical questions in the field of science without having a deep understanding of the mathematics underlying it?

Thank you very much 🙂