Heh, not particularly accurate. The moon won't “eventually escape entirely”. It's orbit will keep increasing till the solar day = lunar month. At which points the tides stop and there's no more energy to increase the moon's orbit.
The fun part is because vacuum is not perfect and the incredibly small effects of gravitational waves the orbit will start decreasing.... till it hits the Roche limit and becomes a ring!
All that ignores the sun expanding and consuming the inner planets.