Well, then...maybe it's me that is making this harder...
Ok, I had to show you "cobra 29" versus the Cobra 25 - so you can see
SUBTLE changes they put in their boards.
It's understandable that you "get a squeal" because of what they're trying to do back there - and make it sound like it works - and you're trying to add in a source for mixing in - even though you are not mixing in per-se, but summing in another point. You're better off to use the Mic amp itself - it's been made / designed to be somewhat stable and provide some fidelity - we can "tweak" the Mic amp to obtain a different level of fidelity or emphasis equalization.
Do your mixing before it arrives to, and at a high enough volume level to overcome limitations, to the radio. Not within - because of what the typical Dynamic element already has against it. You use a 600 ohm cartridge - basically a speaker magnet and coil - only the coil has more winds, and you are talking into a vary small "cone" or diaphragm.
Power mikes can squeal big time too, but if you INSTALL them and use the right level of drive - you don't have a bad sounding little radio.
You don't have to sum in another point if you don't feel like it - as you tried earlier trying to tap in - you'll need to "buffer" your effort, from the base circuitry in the radio and keep it from adding another loop to cause a squeal.
Most of the time, the "direct inject" method requires some understanding of how a "Phono" and Tape Monitor system works in a typical Stereo receiver.
Phono uses a turntable and a magnetic cartridge - it greatly amplifies the signal and brings it to a level that the Stereo can use that is above a noise level and can overcome the inherited traits of switching, impedance mismatching and the losses in cabling connections and to maintain an adequate Signal to Noise ratio so you're not amplifying the noise the amplifier stage has - you only want the audio signal.
Tape Monitor is similar, only it is a type of loop system designed to be strong enough in power to overcome similar limitations in both losses and in fidelity degradation. It's at a higher level of drive that keeps itself above a Noise level figure of merit used in the Audio Industry and also to provide the dynamic range, but designed not to add any, if little, distortion elements like harmonic and impedance mismatch input levels - % THD is a sum of these factors and some more - as a total weighted figure of merit to tell the consumer that you are getting this type of performance, with this much of it as "distortion".
The amplifier for the Mic is a simple amplifier - being made to do a lot. It uses several means of support (or restrictions) to keep itself from squealing. It's a lot like the PHONO amp in a typical stereo...only it's a SINGLE Transistor amplifier - being told, not asked,. to do a lot.
Ok, the above is a typical Phono preamp form a JC Penney stereo - yes it's old, but so is the technology in your radio - both are from the same era at least in LEGACY hardware and function.
It uses certain key elements that you can install in your microphone to overcome some of these limitations you are encountering.
One being - when you hook up, you need to "balance" your input to meet the expected IMPEDANCE the amplifier stage expects.
It also uses Equalization filters to offset or emphasize some of the tonal range that this amplifier is supposed to faithfully reproduce and then to use a process called De-Emphasis to reduce, a reduction of amplification in a tonal range or spectrum of sound frequencies - other spectral portions of the audio spectrum so it doesn't "color" the sound and you'll hear the artist in their normal tonal range of voice and the instruments played in their normal fundamental ranges of music.
I told you the above, so all you have to do, is get your microphone handset - wire a cable from your tape monitor loop or your Mic amp mixer - take the shield and put it to Mic Shield and Audio live goes where your other Mic wire that routes to Pin 2 - goes - you then solder a resistor ACROSS these two wires to reduce or match the expected impedance the Mic Amp stage wants.
The 820 ohm resistor above - is a good example - your mixer would also use a capacitive coupling scheme to keep it's own voltages from interfering and being interfered with so your mixer is isolated from the Mic amp thru a cap - you add a resistor across your Audio cable leads to Attenuate and help remove eddy currents that can form in the cabling - the mixer uses a scheme similar too - usually 1.5K as a factor of IMPEDANCE (A high impedance level output).
You may not need to use 820 ohm, but you should use something, even a 1.5K resistor - which when parallel'd with the other (your mixer) impedance matching effort - the two 1.5K's divide down into 750 ohms - even closer to the expected 600 ohm impedance.
It's better to start with the Egg, than to try and build a Chicken...