This scam has been running for 20 days, and even biggest sites like @CoinMarketCap & @CoinGecko have listed it.
By scanning the smart contract we found:
[1] - 2021-10-31 02:13:33 PM : Contract is being scanned
[2] - 2021-10-31 02:13:33 PM : Searching for token network identifier
[3] - 2021-10-31 02:13:33 PM : Found network on bsc chain
[4] - 2021-10-31 02:13:33 PM : Contract has been scanned
[5] - 2021-10-31 02:13:33 PM : Start evaluating the transactions : comparison of from/to/sender/recipient to non-zero -> 100 points
[6] - 2021-10-31 02:13:33 PM : Start evaluating the token swap router : comparison swap interfaces and versions -> 85 points
[7] - 2021-10-31 02:13:33 PM : Start evaluating the token ownership : comparison ownership renounce and transfer factors -> 55 points
[8] - 2021-10-31 02:13:33 PM : Start evaluating the token mint function:Comparison of supply burn and token distribution -> 76 points
[9] - 2021-10-31 02:13:33 PM : Start evaluating Liquidity Pool Data using DEX platform
[10] - 2021-10-31 02:13:34 PM : ---- Start to evaluate ownership transfer event data ---
[11] - 2021-10-31 02:13:40 PM : Ownership has not been renounced.
[12] - 2021-10-31 02:13:40 PM : contract creator address is : 0x00b92ac3d4888a740bb69c94833efa014740cd91
[13] - 2021-10-31 02:13:40 PM : ---- End to evaluate ownership transfer event data ---
[14] - 2021-10-31 02:13:34 PM : --- Scanning for DEX platforms / Performing LP lock / unlock check ----
[15] - 2021-10-31 02:13:34 PM : We have found a one LP main account seems and LP implementation is safe
[16] - 2021-10-31 02:13:34 PM : DEX platform name : Pancake v2
[17] - 2021-10-31 02:13:34 PM : Total numbers of LP makers : 12
[18] - 2021-10-31 02:13:34 PM : Total LP amount : 5,826,305,736,061,479 BabyCare
[19] - 2021-10-31 02:13:34 PM : LP account address : 0x39a8998981a362603cef2df695b2f650b53a50c8
[20] - 2021-10-31 02:13:34 PM : --- DEX Platform scanning has been completed ----
[21] - 2021-10-31 02:13:34 PM : --- Scanning for DEX platforms for liquidity holdings by address process started----
[22] - 2021-10-31 02:13:34 PM : LP check is okay, current locked/burn liquidity percentage is 40.8782% -> 40 points
[23] - 2021-10-31 02:13:34 PM : Total burned or locked percentage : 40.8782 %
[24] - 2021-10-31 02:13:34 PM : Burned or locked : Burn Address - 14.3184%
[25] - 2021-10-31 02:13:34 PM : Burned or locked : 0x81e0ef68e103ee65002d3cf766240ed1c070334d - 14.0000%
[26] - 2021-10-31 02:13:34 PM : Burned or locked : PancakeSwap V2: BabyCare 4 - 7.9870%
[27] - 2021-10-31 02:13:34 PM : Burned or locked : BabyCare: BabyCare Token - 2.5013%
[28] - 2021-10-31 02:13:34 PM : Burned or locked : 0xfd90ba450c62bc65721971fafeffe8f33aafbae9 - 0.9347%
[29] - 2021-10-31 02:13:34 PM : Burned or locked : 0xf93c8838c2a6f35cc713eac9740a0fc24f108adf - 0.6199%
[30] - 2021-10-31 02:13:34 PM : Burned or locked : 0x4bf3f3cdcd9474180385794ae684f72077a7a61c - 0.5169%
[31] - 2021-10-31 02:13:34 PM : Started to read top liquidity holding wallet addresses
[32] - 2021-10-31 02:13:34 PM : Wallet address : 0xb13b87f0746e650a282333565456baa6e956d983 - 2.0582%
[33] - 2021-10-31 02:13:34 PM : Wallet address : 0x83aad24a4df90cb507a490a36194a8b09be770d1 - 2.0151%
[34] - 2021-10-31 02:13:34 PM : Wallet address : 0xa31365419325b0a22428fe70da29592f30113089 - 1.5671%
[35] - 2021-10-31 02:13:34 PM : Wallet address : 0xee23c220c0830ea14cc6a83af1c5e048bda0837c - 1.2428%
[36] - 2021-10-31 02:13:34 PM : Wallet address : 0x2a90593345e93271035dd19d5ca9e3e901aba483 - 1.0298%
[37] - 2021-10-31 02:13:34 PM : Total liquidity holdings : 59.1218%
[38] - 2021-10-31 02:13:34 PM : Top 10 liquidity holders are holding a considerable amount of liquidity (59.1218%) LP checked considerate -> 34 points
[39] - 2021-10-31 02:13:34 PM : --- Scanning for DEX platforms for liquidity holdings by address process finished----
[40] - 2021-10-31 02:13:40 PM : ---- Start evaluating router address change condition for the owner. ---
[41] - 2021-10-31 02:13:40 PM : The owner cannot change the dex router address in the contract
[42] - 2021-10-31 02:13:40 PM : Finish scanning the router address condition
[43] - 2021-10-31 02:13:40 PM : ---- Start evaluating setting high fee function for the owner. ---
[44] - 2021-10-31 02:13:40 PM : The system cannot find any high fee setting functions in the contract
[45] - 2021-10-31 02:13:40 PM : ---- Finish scanning the high fee setting function. ---
🛑 65 points. All main functions have been implemented and the contract looks good. DYOR before investing. Reference
⚠️ As you see, the scanner didn't catch the main functions of the smart contract to be a honeypot, which means that you never have to rely only in one scanner or service to be able to make a good research over a project.
On the other side, Bscheck.eu could label it easily as a Honeypot as no address except the whitelisted ones is allowed to sell.

The best way to spot Honeypots is to use Honeypot.is. In most cases a honeypot is spotted if you are not able to do buy/sell transactions.
It is worth mentioning that Honeypot.is labels also smart contracts that have buying disabled as a Honeypot. That is a different subject.

🛑 Contracto.org Verdict: HONEYPOT, Run Away!!!