To ensure your live algorithm logs are correctly timestamped to your time zone (Pacific Time), you should follow these steps:

1. Set the Algorithm Time Zone: Utilize the set_time_zone method in your algorithm's initialize method to specify your desired time zone. For Pacific Time, you can use:

   self.set_time_zone("America/Los_Angeles")

   This will set your algorithm's time zone to Pacific Time, so all time-related functions within the algorithm will adhere to this time zone.

2. Log Messages with Local Time: Whenever you log a message, convert the self.Time to your algorithm's local time to ensure the log shows accurate local timestamps. You can do this by using:

   self.Debug(f"Current Time (Local): {self.Time}")

   Since self.Time will now reflect the time in "America/Los_Angeles", it will log the correct local time.

3. Backtesting and Live Mode: The same code will work for both backtesting and live mode. In live mode, the log will also reflect the local time according to the set_time_zone setting.

Here's how the relevant portion of your QCAlgorithm might look to incorporate these changes:

class MyAlgorithm(QCAlgorithm):
    def initialize(self) -> None:
        self.set_start_date(2022, 1, 1)
        self.set_end_date(2022, 12, 31)
        self.set_cash(100000)
        # Set time zone to Pacific Time
        self.set_time_zone("America/Los_Angeles")
        self.add_equity("SPY", Resolution.MINUTE)
    def on_data(self, slice: Slice) -> None:
        # Use local time when logging
        self.debug(f"Current Time (Local): {self.Time}")

By following these steps, your live logs should now correctly reflect Pacific Time, simplifying your debugging process.

Sources: Time Zones - QuantConnect.com, Initialization - QuantConnect.com, Charting and Logging - QuantConnect.com, Logging - QuantConnect.com