Question Regarding Scheduled Task cron First Tuesday of the month

I have a pipeline that needs to run on the first Tuesday of every month. Looking at the details indicates that the scheduled task should execute as expected, see below…

2022-10-06 09_43_16-Snaplogic Manager

However, the task never executed. Any insight as to why this task did not execute as expected would be appreciated. I have included a screenshot of the cron summary below as well

Thanks,
James