Get RecordTypeId before wire functions run [duplicate]

Question

So I'm trying to get the picklist values based on 2 record type ids for the Account object. Everything works just fine, but the thing that bothers me is that I have to hard-code the record type ids.

@wire(getPicklistValuesByRecordType, { objectApiName: ACCOUNT_OBJECT, recordTypeId: '012250000009XyOAAU' })
wiredValues({ data }){
    if(data){
        this.mhbkBranchValues = [];
        data.picklistFieldValues.Branch__c.values.forEach(
            element => this.mhbkBranchValues.push({
                label: element.label,
                value: element.value
            })
        );
        console.log('mhbkBranchValues', this.mhbkBranchValues);
        this.mergePicklistValues();
    } 
}

//Shared
@wire(getPicklistValuesByRecordType, { objectApiName: ACCOUNT_OBJECT, recordTypeId: '012250000009XyPAAU' })
wiredValues2({ data }){
    if(data){
        this.sharedBranchValues = [];
        data.picklistFieldValues.Branch__c.values.forEach(
            element => this.sharedBranchValues.push({
                label: element.label,
                value: element.value
            })
        );
        console.log('sharedBranchValues', this.sharedBranchValues);
        this.mergePicklistValues();
    } 
}

mergePicklistValues(){
    if(this.mhbkBranchValues && this.sharedBranchValues){
        this.branchOptions = this.mhbkBranchValues;
        this.sharedBranchValues.forEach(
            element => {
                if(this.branchOptions.filter(e => e.label === element.label).length > 0){
                    console.log('existing value');
                } else {
                    this.branchOptions.push({
                        label: element.label,
                        value: element.value
                    });
                }
            }
        );
    }
    console.log('branch info ', this.branchOptions);
}

I also tried getting the record type id using getObjectInfo, but the problem is the values are undefined when the 2 picklist wire functions are run.

@wire(getObjectInfo, { objectApiName: ACCOUNT_OBJECT })
wiredAccData({data}){
    if(data){
        console.log(data);
        const rtis = data.recordTypeInfos;
        this.mhbkRTID = Object.keys(rtis).find(rti => rtis[rti].name === 'MHBK');
        this.sharedRTID = Object.keys(rtis).find(rti => rtis[rti].name === 'Shared');
        console.log(this.mhbkRTID, this.sharedRTID);
    }
}

Is there a way of achieving this?

LATER EDIT: My code now looks like this:

mhbkRTID;
sharedRTID;

@wire(getObjectInfo, { objectApiName: ACCOUNT_OBJECT })
wiredAccData({data}){
    console.log('obj', data);
    if(data){
        console.log('obj data', data);
        const rtis = data.recordTypeInfos;
        this.mhbkRTID = Object.keys(rtis).find(rti => rtis[rti].name === 'MHBK');
        this.sharedRTID = Object.keys(rtis).find(rti => rtis[rti].name === 'Shared');
        console.log('rt ids', this.mhbkRTID, this.sharedRTID);
    }
}

//MHBK
@wire(getPicklistValuesByRecordType, { objectApiName: ACCOUNT_OBJECT, recordTypeId: '$this.mhbkRTID' })
wiredValues({ data }){
    console.log('mhbk', data);
    if(data){
        this.mhbkBranchValues = [];
        data.picklistFieldValues.Branch__c.values.forEach(
            element => this.mhbkBranchValues.push({
                label: element.label,
                value: element.value
            })
        );
        console.log('mhbkBranchValues', this.mhbkBranchValues);
        this.mergePicklistValues();
    } 
}

//Shared
@wire(getPicklistValuesByRecordType, { objectApiName: ACCOUNT_OBJECT, recordTypeId: '$this.sharedRTID' })
wiredValues2({ data }){
    console.log('Shared', data);
    if(data){
        this.sharedBranchValues = [];
        data.picklistFieldValues.Branch__c.values.forEach(
            element => this.sharedBranchValues.push({
                label: element.label,
                value: element.value
            })
        );
        console.log('sharedBranchValues', this.sharedBranchValues);
        this.mergePicklistValues();
    } 
}

As you can see there are multiple debugs and this is what my console looks like: The getObjectInfo is re-evaluated and retrieves the values, but it doesn't re-evaluates the other 2 wire functions. The debugs under the red line are from a different wire function and from connectedCallback.