Let's jump straight to decimal time then.

1^h^23^m^45^s^ is 1 decimal hour, 23 decimal minutes, and 45 decimal seconds, or 1.2345 decimal hours, or 123.45 decimal minutes or 12345 decimal seconds; 3 hours is 300 minutes or 30,000 seconds. This property also makes it straightforward to represent a timestamp as a fractional day, so that 2023-10-26.54321 can be interpreted as five decimal hours and 43 decimal minutes and 21 decimal seconds after the start of that day, or a fraction of 0.54321 (54.321%) through that day (which is shortly after traditional 13:00)

That's a language problem, in a lot of European languages they already work like that.

In French the way they say 9:20 a.m. is literally "the time of 9 hours 20 minutes" and 3:45 p.m. is "the time of 15 hours 45 minutes". It's written as "h1545". Which is very close to how military time works in English speaking countries.