Your wallet should be used for safe storage of your coins (private keys), and you can buy BTC on CEX (centralized exchange) or DEX (decentralized exchange). In general, people will tell you to buy a hardware wallet, so even though it is an option that is safer than any desktop/mobile hot wallet, you still need to know what you are buying.

If you have serious plans for a long-term investment in Bitcoin, then you need a more serious solution, but if you are going to buy worth a few tens of $ or something similar, then look for a desktop wallet with a solid reputation.