Newly dating, parent passed away. How do you act?

I met an amazing person about a month ago. At first I did subconsciously self sabotage by oversharing my baggage but he stuck by me and was beyond sweet. I noticed he seemed quiet and I hadn't heard from this week. When I reached out he told me his father had passed away. I feel horrible for him. I also feel like he won't want anything to do with me because thus far the entire time he's seen me, he's just been "taking care" of me in a sense and he doesn't have the capacity given all of this. I also don't want to push him away by checking in on him... just not sure how to act towards him or be there for him as I feel like giving him total space is wrong?

Newly dating, parent passed away. How do you act?
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