LTR of over 3 years broke up with me. She works at the front desk of my gym. I want to go radio silent with no contact.

My current gym is very close to my house and I prefer it to the alternative which is a gym at my uni.

So should I switch gyms so that there is no contact between us? Or should I continue to go to my usual gym and just be cordial whenever I see the ex while she’s working?

Also, sometimes I’m curious how she’s doing and would like to pursue conversation. Should I ask how she’s doing or is that too much contact, too much investment?

I know this sounds beta af but I’m new to TRP and this is my first breakup. Thanks.