I kept getting this nagging feeling there was an
ARG attached to this show that I wasn't aware of. On that hunch I went back to watch episode 1 to see if I missed anything.

The website
https://www.thewackywatch.com/ is very well catalogued at
https://tadc.fandom.com/wiki/TheWackyWatch.com but nothing appears out of the ordinary.
But this number... What is it?

We can decode it using a Wingdings character table.
Raw:
1︎︎-︎︎8︎︎0︎︎0︎︎-︎︎4︎︎0︎︎📄︎︎-︎︎📫︎︎︎︎⌛︎︎︎︎🖰︎︎︎︎✆︎︎
Decoded:
1︎︎-︎︎8︎︎0︎︎0︎︎-︎︎4︎︎0︎︎2-︎︎-68)
Well that looks promising. We can assume ) can be swapped for 0 as they share the same key on the keyboard. All we're left with is to figure out what the - means. It could also mean 0, but there's only 10 possibilities, so we can go ahead and just brute force all the phone combinations anyway:
1-800-402-1680 - "
Your call cannot be completed as dialed".
1-800-402-2680 - "
Your call cannot be completed as dialed".
1-800-402-3680 - "
You have dialed a number that cannot be reached in your calling area".
1-800-403-4680 - Rings, Answers, "
To save money on car insurance, please press 1..."
1-800-402-5680 - "
You have dialed a number that cannot be reached in your calling area".
1-800-403-6680 - Rings, Answers, "
To save money on car insurance, please press 1..."
1-800-403-7680 - Rings, Answers, "
America's Hottest talk line..."
1-800-402-8680 - "
You have dialed a number that cannot be reached in your calling area".
1-800-402-9680 - "
You have dialed a number that cannot be reached in your calling area".
1-800-402-0680 - Rings, Answers, "
America's Hottest talk line..."
It's fucking
nothing! Thanks, Gooseworx. Great job