I finally figured it out... I tried so many things, but the Mist software for Ethereum Classic is full with bugs in the features that I needed. In the end I started to read up on contracts and my eye fell upon the option to suicide a contract (kill it). So I went into
MyEtherWallet.com -> Contracts
Put in all the information requested and chose the Kill contract method. This killed the contract and the funds went back to my main address. I then proceeded to move these ETC into my Ledger wallet. This little project took me about 11 hours in total, but I ended up with 209 ETC in my wallet. So this story has a happy ending!
This is too long for a comment, so writing as an answer. Your question is somewhat opinion-based, so there isn't a perfect answer. Obviously everyone using a given miner or pool has their reason for thinking that is the best for them, so there is no "right" answer.
I started mining with an RTX 2070 last week. Was using PhoenixMiner and getting 39.5 MH/s. I found, like many others, that you have to let the DAG load before overclocking ( Lots of incorrect shares on one GPU in Phoenix miner). I have memory overclocked +1447, which is more than I've seen others doing it, but it works and temp stays stable at 67C (laptop).
My longest run has been about 29 hours and then it started throwing incorrect shares. I have switched to GMiner to see if the same problem occurs. If it does, it's probably a hardware issue and I'm running it too hard. GMiner's hashrate is just over 40, so it may be just a bit faster (Best Ethereum Mining Software for Nvidia and AMD). Incidentally, my experience with GMiner is that you also have to allow the DAG to load before overclocking,
I am using the ethermine.org pool. My advice is to just pick a miner and a pool and start mining. If there's something you don't like, research the other options or just try something else. It only takes a few minutes to download and configure a different mining program or redirect it to a different pool, so you won't be spending much time.
Update: PhoenixMiner has a switch that resets overclocking during DAG generation, so you can avoid the issue mentioned above by using something like:
-mcdag 1 -mclock +1447 -cclock -150
This should also keep the DAG from getting corrupted if the epoch changes while the miner is running.
Best Answer
In order to determine if mining will be profitable for you or not, you should use a mining calculator. (You can just search for 'mining calculator' online.) The reason why is that profit will depend on how much you're spending on electricity and other factors. You will need to know the cost of electricity wherever you're running the ASIC. You'll need to know the hashpower of the ASIC too, from here the A10 Pro looks to be 500 MH/s.
You will also most likely want to join a mining pool (as opposed to solo mining). As this wasn't part of the question, I'm not going to spend time on it.
Now, let's move on to your specific questions.
Is it good to buy an ASIC Miner in Nov. 2020 for ETH and ETC mining ?
The first thing you'll need is a mining calculator to see if mining in your region can even yield any sort of profit. (You'll need to check for ETH and ETC - each one is different.) A quick look at the ASIC specs looks like it should be able to turn a profit. This isn't everything, though: you still need to buy the ASIC. It will most likely take some time to pay back. If this is 'worth it' for you is up to you, but this should help you make a decision.
You touch on two points that directly relate to this in your other two questions, but I'll answer each one separately. The above answer assumes that you'll have enough time on ETH and/or ETC to make as much as you'd like. The next two questions correctly question that assumption.
ETC mining algo change
ETC did have some proposals to make changes to its mining algo after being repeatedly 51% attacked with rented hashpower. If they change the hash being used in the mining algorithm, I would assume, but have not been able to confirm, that an Ethash ASIC would be unable to mine it efficiently. If someone can confirm this, I would be much obliged.
As of yet, no changes have been made, and their communications indicate this will not happen quicker than 5 months (6 in the article, 1 month has passed). Source
ETH mining algo
Ethereum plans on moving to proof-of-stake, which will most likely eliminate mining. (I seem to recall some talk of keeping some proof-of-work shards, but at the least, I wouldn't count on it.) While parts of this system are scheduled to be released in November of this year (2020), they do not eliminate mining and the proof-of-work chain. You can read about the Eth2 roadmap here. The phase of the roadmap that is supposed to transition mainnet to proof-of-stake is Phase 1.5, and is currently slated for a 2021 release, though this may be optimistic. This is something to consider when purchasing an ASIC, especially if the only two chains you are willing to mine are ETH and ETC.
Update: I forgot to address your question of profitability. This isn't really the forum for it, so I'll simply point out some basic facts, and urge you to do your own research. If ETC changes the hash in their mining algo, and we assume:
then there will be a bunch of 'freed' Ethash hashpower looking for something to mine. They will not necessarily turn to ETH, though. If they do, it would be a question if increased hashpower drives price. I don't have a qualified opinion on that.
An Ethash ASIC can be used to mine a multitude of other chains that use Ethash, so there options other than ETH and ETC. You may want to explore them.