Let’s look at important things here –
Moon - Moon represents Mind, Emotions, Mother, Local Government, Peace of Mind, Home Environment, Water, Milk etc.
Purva Ashadha Nakshatra - It is a nakshatra of higher education, analysis and research. It is also nakshatra of giving care to others. For more information on Purva Ashadha Nakshatra, please read this - https://www.astrosaxena.com/panaksh .
Sagittarius - As Purva Ashadha is part of Sagittarius sign, Sagittarius and things represented by Sagittarius are important here. Sagittarius is the 9th sign of Zodiac Belt, hence it represents many things related with the 9th house of horoscope like Religion, Knowledge, Wisdom, Higher Learnings, Gurus, Teachings from your Father etc. Besides it also represents Coaching, Universities, Professors and Preachers, Higher Wisdom, Written Law of the Land etc. Sagittarius has 2 and half nakshatra which are Mula, Purva-Ashadha and Uttara-Ashadha. Sagittarius' lord is Jupiter.
Venus - As Venus rules Purva Ashadha, Venus's position and dignity is important to know about the overall functioning of any planet in Purva Ashadha.
Jupiter - As Jupiter rules Sagittarius, their position and dignity is important to know about the overall functioning of any planet in Purva Ashadha/Sagittarius.
Houses Involved – Also, we can’t afford to forget the houses involved as a planet can be ruling different houses and sitting in different house for every person as per ascendant and planet’s position. To know overall affect, we have to consider the houses involved as those areas of life are being impacted.
Interpretation of Moon in Purva Ashadha Nakshatra – Now, Moon which represents Mind is in a nakshatra which is related with higher education and making a distinction between useful and useless. It means that these people can be very much inclined towards higher education and they can have a very rational mind. They can be good in judging good or bad people/circumstances/situations. They can also be good at taking care or nourishing others as this nakshatra is all about giving initial care and nourishment of life to others. They can be in education or medicine or in any field where you need to take care or nourish others. It is more so as Moon also represents similar things. They can possess a very rational or logical mind. They can be seen as forever students or forever teachers. They would like to share their knowledge with others regardless of the fact that they are getting any recognition or not. This result is more apparent as Purva-Ashadha is falling in middle of Sagittarius, a sign of higher education, teaching or guiding etc. As Moon is in Venus ruled nakshatra, they can be inclined towards higher education related with any creative interest they have or finance/wealth. Overall, a very good position of Moon for higher education related matters and they may have inherited those inclinations from their Mother only.
Role of Venus – Venus placement is important to guide Moon in right direction, being Purva Ashadha's lord.
Role of Jupiter - Also, Jupiter placement is important to guide Moon in right direction, being Sagittarius lord.
Other Factors – And of course, we need to consider conjunction, aspects, house lordship, house position and dashas etc to know the exact results of Moon in Purva Ashadha. So, we always need to take a holistic view of chart rather than just 1 planetary position.
Conclusion – So, this is how I see Moon in Purva Ashadha can work in a chart.