The meaning is clear, but the word availability doesn’t work here. Try “time slot” or “available time” or “open appointment “. Something like that.

Do you have another availability as Ed has a schedule conflict? - grammatically this is incorrect as 'availability' is an uncountable noun. We use: another + singular countable noun. You could say: Do you have other availability as Ed has a schedule conflict? But as others have mentioned 'availability' is a bit unnatural here. It could be more natural to say something like: Do you have another availible slot? Do you have another opening? (Here we use: another + singular noun)

Unfortunately, Ed has a scheduling conflict, do you have any other available times? = sounds good

I agree with the other comments. Incorrect: Does the sentence correct? Correct: Is the sentence correct?

Hi Alth, It's better to change the word "availability" since it's ambiguous. You can use " available time" or "time slot".