Help creating a custom bounce

For the first and third cases, you could create a metric using "single page visits" and a segment that either includes/excludes seeing that pop-up. For the second case, does a second page load call fire after they accept the disclainer and see the page? If not, then the same method would work, again just modifying the segment.

Single page visits is a default metric from Adobe. 

For the segments, for case 1 have a hit condition where they see the pop up, and then do an exclude container for accepting it.

For case 2, have a hit condition where they see the pop up and accept it.

For case 3, have a hit condition where you exclude anyone who sees the pop up (you don't need to worry about excluding accepting it, because if they don't see it at all, they can't accept it).

Then create calculated metrics with each of the segments and the metric "single page visits" for each of your bounces. If you want a bounce rate, then you would divide that by the number of visits (you would likely apply the segments to all visits as well that way you get bounce as a % for each group, and the three groups should add up to 100% of traffic if the groups are mutually exclusive).

Editing because I missed the last sentence of your post. 

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@angeldee77 wrote:

For extra info, we have an event firing when they see the pop-up (first time with grey background), Also, when they hit accept, it loads 2 page view beacons.

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So for the second condition, if there is a page view firing when they hit accept, then you wouldn't be able to use single page visits if there is more than one. So the segment would get a bit more complicated for that. You would need a visit level sequential segment. First condition is seeing the pop up, then them accepting it, then an exclude container for any page view or custom link. If there are no more custom links or page views, then they must have exited the site. You can use that with the visits metric, to see how many visits did that. Then for a bounce rate, divide that by a segment with just the disclaimer view and accept, but not the condition excluding the rest of the visit so get everyone who accepted it.