[Bug Report][3.6.12] v-date-picker range selection needs to select start date twice when cleared

[svannierswm]

Environment

Vuetify Version: 3.6.12
Vue Version: 3.4.31
Browsers: Firefox 127.0
OS: Linux x86_64

Steps to reproduce

1. Make a normal selection (two dates for a range) [ex. 9 to 16]
2. Clear the range
3. Click to select the start of the new range [ex. 10]
4. Click to select the end of the range [ex. 14]

Expected Behavior

Should end the range [ex. 10 to 14]

Actual Behavior

On the fourth step this sets the start of the range

Reproduction Link

https://play.vuetifyjs.com/#...

Other comments

This has a great chance to be linked to this issue :
#19854

[yvangrdv]

I notice that the bug does not occur with the VDateInput component : https://vuetifyjs.com/en/components/date-inputs/#range

[svannierswm]

This seems to has been fix in v3.6.13 from #20169. Linked to this issue to #20168