Fwiw nobody loses weight through exercise anyway. You can only lose weight by consuming less than you burn. You burn more when you exercise, yeah, but you still have to resist just eating that bit more to cover the extra expense. Your basal metabolic rate increases when you build up more muscle mass, yeah, but yet again that doesn't mean that your appetite will be the same as before, you're still going to have to have the will power to eat less than you'd maybe want. Conditioning yourself to stop eating before you're absolutely full, training to manage living with a bit of an appetite without having a snack, and learning your way around food that is more filling through fibres, protein, and complex carbs like starch is literally the only sustainable path to losing weight.

That being said you should exercise either way. It's more important than losing weight for the vast majority of unfit people anyway.