Persyst reader ignores [SampleTimes] in the .lay file

Description of the problem

Summary:

The function mne.io.read_raw_persyst does not take into account the [SampleTimes] section of .lay file, and thus, misses the position of recording discontinuity.

Full explanation with codes can be found here:
https://mne.discourse.group/t/issue-when-reading-persyst-files-wrong-position-of-gaps/8059

Steps to reproduce

Code examples to reproduce the issue can be found here:
https://mne.discourse.group/t/issue-when-reading-persyst-files-wrong-position-of-gaps/8059

Link to data

No response

Expected results

The time column obtained with the function to_data_frame(), called from a RawPersyst object, should be corrected for the physical times informed in the section [SampleTimes] in the .lay file.

Actual results

The time column obtained with the function to_data_frame(), called from a RawPersyst object, considers that the EEG samples were all sequentially recorded (without discontinuity).

Additional information

Details and codes are described here:
https://mne.discourse.group/t/issue-when-reading-persyst-files-wrong-position-of-gaps/8059

Start with mne.io.read_raw_persyst and the RawPersyst.to_data_frame() path, then read the linked Discourse explanation and reproduction code. Verify how the .lay file's [SampleTimes] section represents gaps. Done means the returned time column reflects the physical recording times and discontinuities instead of assuming sequential samples.