What you were doing when the issue happened
Attempting to use Alfred 4 right after I had used the three finger gesture to do app expose. I realised that typing on my keyboard did nothing and nothing was appearing in the Alfred 4 search bar.
Whether you were able to replicate it a second time by performing the same action
Yes, you can use the three finger gesture to do an app expose or a mission control show and if you attempt to use Alfred 4 while in that mode then nothing appears in the search bar.
Include any screenshots that might help us
Attached one.
Include the Alfred version & build number you are using
4.0.5 [1116]
Include your OS X version
macOS Catalina Ver 10.15 - MacBook Pro 15 2019