What I would challenge you to do before seeking funding is validate more of the business model.
So, now that you've gained their interest, you started building relationships, you should get more evidence that they're actually willing to spend money with you.
Investing in a full space is a big commitment, big investment.
Event spaces can be very popular and potentially profitable.
But I would challenge you to think through the ways to be really lean right now and maximize your resources to really make sure that, one, the target audience that you believe is going to become co-working members and potentially rent your space are actually going to spend money with you.
Keep doubling down on the people you've already connected with.
Is this the best way to fund your startup?