Do you all use a pore-covering primer for oily/dehydrated skin?

I have typical dehydrated oily skin!! Now that the weather is getting warmer, the pores on my butterfly zone and around my nose look particularly prominent, so I'm very worried...

I thought about using a primer to achieve a smooth complexion, but because I have oily skin, I hesitated to use it because I was worried it might clog my pores and cause breakouts or acne. Plus, for some reason, I just didn't feel like using it...

For those of you with combination or sensitive skin like me, what products do you use to cover your pores? Please recommend some primer alternatives, cushions that cover pores well, or gentle primers that don't cause breakouts! I would be grateful if everyone could share their tips for gently covering pores!!