The chip will flow through the digestive system and be excreted. They do this routinely already to measure stomach acid and other things. The notion that the chip will enter the blood stream is a non-starter. It's the same notion given out for the past year that chips are injected into blood or muscle. They are not.
Chips can be injected under the skin and read by a reader held close to the chip. The reader powers the chip in those cases. The antenna used to gather RF and power the chip is sizable, grain of rice size. The swallowed chips have batteries and can transmit at a greater distance depending on the battery capacity (battery life is long enough for transit through the digestive tract)
There are other power possibilities such as chemical batteries that I looked up a year ago during the chipping discussions. You can read some of the latest if you want to https://www.researchgate.net/profile/Xueying-Huang-2/publication/335779635_Materials_Strategies_and_Device_Architectures_of_Emerging_Power_Supply_Devices_for_Implantable_Bioelectronics/links/608000d02fb9097c0cf976fe/Materials-Strategies-and-Device-Architectures-of-Emerging-Power-Supply-Devices-for-Implantable-Bioelectronics.pdf. They are talking about mm size objects which is about 1000 times larger than what can be injected.
I was reading upon nuclear diamond batteries recently. Perfect battery for this purpose.