die Folge
consequence
The effect or result of an action or event; the consequence.
Der Klimawandel hat ernste Folgen für die Umwelt.
Climate change has serious consequences for the environment.

consequence / episode
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consequence
The effect or result of an action or event; the consequence.
Der Klimawandel hat ernste Folgen für die Umwelt.
Climate change has serious consequences for the environment.

'Die Folge' is closely related to the verb 'folgen' (to follow). All meanings describe something that follows something else: as a consequence, as part of a series, or in an order.
Auf den Regen folgte Sonnenschein.
Sunshine followed the rain.
A very common phrase is 'zur Folge haben' (to result in / to have as a consequence). It is used to express a consequence. The structure is: cause + has + consequence (in the accusative) + zur Folge.
Der Unfall hatte einen langen Stau zur Folge.
The accident resulted in a long traffic jam.
When talking about series, podcasts, or shows, 'Folge' always means 'episode'. Typical combinations are 'die neue Folge' (the new episode), 'die nächste Folge' (the next episode), or 'die letzte Folge' (the last episode).
Ich habe gestern Abend die letzte Folge der Staffel gesehen.
I watched the last episode of the season yesterday evening.
The expression 'in der Folge' means 'after that' or 'as a result'. If it stands at the beginning of a sentence in position 1, the verb follows directly after it in position 2.
Die Firma machte große Verluste. In der Folge mussten viele Mitarbeiter entlassen werden.
The company suffered heavy losses. As a result, many employees had to be laid off.
part
'der Teil' and 'die Folge' can both mean a section from a larger series, for example with films, series, or stories. 'der Teil' is more general and fits when something belongs to a larger whole, such as a part of a book or a film series. 'die Folge' is used especially for a single episode of a series, podcast, or audio drama. Learners may confuse the words because both can be numbered. A practical guide: With series, you usually say 'Folge'; with larger sections or individual pieces of a whole, you are more likely to use 'Teil'.

Clara sieht die neue Folge ihrer Lieblingsserie nach dem Training.
Clara watches the new episode of her favorite series after training.
Der zweite Teil des Films kommt morgen im Fernsehen.
The second part of the film is on TV tomorrow.