[Python] How to add an integer (+1) to the items of a list except if they have a specific...

I want to add 1 to each item in a list, except for the items that have value 3. I tried with a for loop:

p = [1,2,3]
p= [x+1 for x in p if x != 3]
print (p)
#[2,3]


But the output is [2,3], so it adds 1 to the first to items but doesn't output the last one. I want it to show all 3 items but don't add anything to those that are 3.

Then I tried this but it still doesn't work:

p = [1,2,3]
p= [x+1 for x!=3 in p]
print (p)
#SyntaxError: invalid syntax

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