@computemoore78 refer to one of my older answers to set token based on time range picker: https://answers.splunk.com/answers/578984/running-one-of-two-searches-based-on-time-picker-s.html
On similar lines please try the following run anywhere with an independent search based on Time Picker input that sets the minutes token.
Alternatively, as suggested by @woodcock you can use the same search from | addinfo ... in the queries where you want to have minutes based on time range picker used in that search. If you want this approach then it would be better if you move this piece of code to macro.
<label>Minutes as token based on Time Picker</label>
<!-- Independent Search for setting minutes for the selected time range -->
| eval minutes=case(info_max_time!="+Infinity",floor((info_max_time-info_min_time)/60),true(),floor((strptime("1971/01/01","%Y/%m/%d")-info_min_time)/60))</query>
<input type="time" token="tokTime">
... View more