Word for Finally Reaching a Desired State

Solution 1:

payoff: a good result; the advantage or benefit that is gained from doing something

reward: to give money or another kind of payment to (someone or something) for something good that has been done

compensation: provision of something good as a balance against something bad or undesirable; to make up for some defect or weakness

gratification: experiencing pleasure or satisfaction; pleasing, a gratifying result

Solution 2:

Raison d'être, meaning "purpose or reason for being" may work for you. Of course, this phrase is borrowed from French and commonly used in English.

After enduring the intolerable advertisements, Timmy's raison d'être was in sight: in moments, the movie would begin.

I have friends who grew up in Hollywood for whom this might literally be an accurate statement, in their opinions. It has the sense of describing an ultimate purpose, and not just some subsidiary purpose at a moment in time.

Solution 3:

The "end" was in sight. They arrived at the "terminal". He could see the "goal-post"; the "finish-line". The "summit", the "peak", the "top", the "pinnacle", the "apex".

Solution 4:

I would use simple words such as the long-expected or the long-awaited was in sight ...

Solution 5:

Use these phrases appropriately:-

1. Light at the end of the tunnel

2. End in sight