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Based on the Critical Path Method, the last task in a project is always critical.
However, practically we know that the day when the project is going to be completed is never really critical. Instead, we care about Go live, Release, Practical Completion, ect. date.
This specific the CPM method may cause the incorrect calculations of Total Float.
Example:
Assume the deadline for 'Go live' milestone is 20 days after the current forecast. The schedule has one "Post Go Live' activity (without a deadline date) after the Milestone.
Practically TOTAL FLOAT for the 'Go live' milestone is 20 days. However, ALL CPM tools show that Total Float (Total Slack) = ZERO.
Even if the last activity has a deadline that is after the forecast date, the deadline will be ignored and TF will not that activities have Float.
It is a methodological gap :(
When the CPM method was invented, no one used it for the whole project. It just wasn't possible due to the limited power of the computers. So, the gap wasn't critical at that time.
Technically, it is a correct calculation, but practically, the TF Metric could be misleading.
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The critical path is not, and never has been defined by Float. Float is a computation affected by both calendars and imposed constraints.
The definition included in ISO 21500 Guide to Project Management, is: Critical Path: sequence of activities that determine the earliest possible completion date for the project or phase. See: https://www.mosaicprojects.com.au/WhitePapers/WP1043_Critical_Path.pdf
One 'phase' in your scenario is achieving 'go live' (or handover, or practical completion); the end of the final phase is project completion (ie, no more work to do). The work up to 'go live' will have float (positive or negative) based on the constrained date for this activity, or if the date does not matter the rest of the work to actually finish the project which again may, or may not have a constrained date. The critical path is not necessarily aligned with important requirements - one of the many anomalies in the CPM method.
For more on this important subject see The Critical Path and Float at: https://mosaicprojects.com.au/PMKI-SCH-012.php#Process5