Remember on a hill, the emergency brake of many trucks is now on the transmission.
When the tire "Pros" at Goodyear branch jacked up my motorhome, it started rolling into the street because my emergency brake is on the transmission. The guy was not smart enough to let the jack back down, just panic and followed my motorhome towards the street, jack handle still in his hand! So block the tires too!
When my motorhome needed to have a tire changed on the side of the freeway, I used the leveling jacks to level the RV, then the bottle jack is much easier and faster to raise the 6,000 pound dual rear wheels. Also the vehicle was not rocking with each passing truck!
At my work, they plug tires all the time, very quickly, without needing to remove the tire at all! When I was headed to Alaska, I bought a tire plug kit. After all these years, the glue is probably bad, but otherwise will work.
Good luck,
Fred.