Haven't seen anything about app factory problems in Android 14 but I dont use myself so don't know. Have you tried the obvious things like rebooting and/or recreating the app ?
However, if stuck then you could try these alternatives.
1/ Install Locus/Tasker plugin.
Run plugin app; Settings; Ensure "Run Task From Functions" enabled. Set Regex to match just your tasker task. (format "Projectname/Taskname" - Default Project is named "Base")
Locus: configure menu; Add Function - add "Run task" from "Add-ons" section.
One tap needed to run, provided Regex matches just one task else it shows a selection list.
2/ Quick BookMark
URL tasker://assistantactions?task=YourTaskName&par1=YourValue1&par2=YourValue2
Two taps needed to run.
3/ Tasker secondary app.
Tasker: Preferences/ActionTab - ensure "Secondary App Enabled" set. Create profile using "Secondary App Opened" event and map to your task.
Locus: configure menu; Add app - Tasker Secondary.
One tap needed to run.
There might well be other ways. (e.g if Locus can trigger app shortcuts or send user defined Intents then Tasker can react to those and map to Tasker task)
However, if stuck then you could try these alternatives.
1/ Install Locus/Tasker plugin.
Run plugin app; Settings; Ensure "Run Task From Functions" enabled. Set Regex to match just your tasker task. (format "Projectname/Taskname" - Default Project is named "Base")
Locus: configure menu; Add Function - add "Run task" from "Add-ons" section.
One tap needed to run, provided Regex matches just one task else it shows a selection list.
2/ Quick BookMark
URL tasker://assistantactions?task=YourTaskName&par1=YourValue1&par2=YourValue2
Two taps needed to run.
3/ Tasker secondary app.
Tasker: Preferences/ActionTab - ensure "Secondary App Enabled" set. Create profile using "Secondary App Opened" event and map to your task.
Locus: configure menu; Add app - Tasker Secondary.
One tap needed to run.
There might well be other ways. (e.g if Locus can trigger app shortcuts or send user defined Intents then Tasker can react to those and map to Tasker task)