I'm currently using Log4J2 version 2.14.1 (as part of SpringBoot version 2.5.0)

What I Want to Do

I'm trying to add a RollingFile appender to my Log4J2 configuration which will:

• Roll-over on application startup.
• Roll-over when a maximum size has been reached (10 MB in the below example).
• Roll-over each day.
• Roll-over into indexed files with the date of their roll-over in the file-name and the parent folder-name.
• Only keep a finite number of archived/rolled-over files (3 in the below example).

What I'd Like the Log Folder(s) to Look Like

There would only be a finite number of archived log files kept across all days.

-- logs
    |-- master-backend-log4j2.log
    |-- 2021-06
         |-- master-backend-log4j2-2021-06-30-1.log.gz
    |-- 2021-07
         |-- master-backend-log4j2-2021-07-01-1.log.gz
         |-- master-backend-log4j2-2021-07-01-2.log.gz

What the Log Folder(s) Look Like

There is a finite number of archived log files kept per day. In my final configuration, the maximum number of files to keep would be much higher than 3, but this lower number makes the below examples easier :)

-- logs
    |-- master-backend-log4j2.log
    |-- 2021-06
         |-- master-backend-log4j2-2021-06-29-1.log.gz
         |-- master-backend-log4j2-2021-06-29-2.log.gz
         |-- master-backend-log4j2-2021-06-29-3.log.gz
         |-- master-backend-log4j2-2021-06-30-1.log.gz
         |-- master-backend-log4j2-2021-06-30-2.log.gz
         |-- master-backend-log4j2-2021-06-30-3.log.gz
    |-- 2021-07
         |-- master-backend-log4j2-2021-07-01-1.log.gz
         |-- master-backend-log4j2-2021-07-01-2.log.gz
         |-- master-backend-log4j2-2021-07-01-3.log.gz

My Log4J2 Configuration

<RollingFile
    name="MasterRollingFile"
    fileName="./logs/master-backend-log4j2.log"
    filePattern="./logs/${date:yyyy-MM}/master-backend-log4j2-%d{yyyy-MM-dd}-%i.log.gz"
>
    <PatternLayout
        pattern="%d [%-5level] (%C) : %m%n%throwable"
    />
    <Policies>
        <!--
            Rollover on startup, per day and when
            the file reaches a maximum size.
        -->
        <OnStartupTriggeringPolicy
            minSize="1"
        />
        <SizeBasedTriggeringPolicy
            size="10 MB"
        />
        <TimeBasedTriggeringPolicy
            interval="1"
            modulate="true"
        />
    </Policies>
    <DefaultRolloverStrategy
        max="3"
    />
</RollingFile>

Duplicate Question with Inadequate Answer

I found this post with basically the same issue, but the person asking the question answered it herself by stating that the solution is to remove the time restrin: How to change my log4j2.xml RollingFile settings

Unfortunately this is not the solution that I'm looking for.