Related Questions:
Add my Spaces to my website
Allow prospects to request a space on my website
Can I add an Space field to my Lead Intake Form?
Answer:
Right now, Spaces are not one of the fields available on our intake forms.
As an option, you can create a Custom Field for "Space Requested" on the Booking level so you capture the information, then manually input that into the Space field for the Event after the Booking gets created.
Instructions on making Custom Fields are here.
Instructions on adding a Custom Field to your Intake Form are here