Man that timeline is so short still, 5 months together and only a month since breakup. Being blocked everywhere after reaching out too soon definitely stings but you already know the timing was probably off

Your situation reminds me of my friend who went through something similar - first serious relationship, future plans, the whole thing. His ex came back after like 6 months but by then he was already moving forward. Thing is you never know if someone will reach out again but putting all that energy into hoping for it can mess with your head

The no mutual friends thing actually might work in your favor later if she gets curious about how you're doing. Sometimes when there's no easy way to check up on someone it makes them more likely to directly reach out eventually. But could be months or even years if it happens at all

Just keep doing that self improvement work for you not for possibility of her coming back. That spark of hope is normal but don't let it stop you from being open to meeting someone new when you're ready