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However, when one of the male nurses amongst the five were having their shots, it appeared that the plunger of the syringe wouldn't go down any further because it had already been pushed down.
Very strange indeed.
Two local TV channels were in attendance for the landmark event, and they both filmed the gloved medic putting the needle into the man's arm, but noticed that the syringe wouldn't go down any more and had already been pressed down as far as it would go.
It's worth pointing out that this could all be a big mistake, but check out the video and have a see what you make of it.
After the footage aired, TV station KTSM was contacted by a few watchful viewers, and the journalists agreed that the whole thing did look more than a little bit strange.
Despite that, a spokesperson for the medical facility insisted that all five of the healthcare workers were given a full dose of the Pfizer/BioNTech vaccine.
However, they did also agree to investigate the situation further to get to the bottom of the concerns.
The first nurse to brave the jab was 29-year-old Crystal Molina, and she was obviously pretty pleased to have received the first dose of the vaccine.
When she had it, the syringe could be seen to properly deploy. The three other injections that didn't cause consternation seemed to go off without a hitch, too.
Molina told KFOX14: "I was excited, I was nervous, a little bit of both, more excited,
"It wasn't necessarily scary. He was really light-handed so it wasn't that bad, but I felt excitement."
Fellow nurse Ricardo Martinez also expressed his delight at being amongst the first to get hold of the vaccine.
He said: "I'm honoured and privilege to be one of the first ones to get the vaccine.
"It feels like a little relief that we're finally gonna get some help, we're gonna get some vaccines. Hopefully, it'll help because it's been a lot of work for everybody."
Hospitals in the USA started administering the vaccine on Monday, and it's likely that the other vaccines from Moderna and Johnson & Johnson will be approved before rolling out in the early part of next year.
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