Glowing blue holograms of two adults and a small child standing on a concrete ledge deep underwater, in The Last Caretaker, from the Update 5.5 press kit; it is a HoloMemory scene, not Anna or the Anna Echo.
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The Last Caretaker Anna Echo: How to Get It and What It Does

Short answer: The Anna Echo is a reusable artifact from North Bastion. Finish the story there (I Know This Place gives you Dolly), then take the Oath Token to Anna’s hologram and she gives you the Anna Echo. In a Lazarus Pod it adds 100 to each of a human’s ten attributes, twice the Oath Token, and it is not used up.

Game version: Early Access, Update 6 (0.10.0); stats from the Update 6 game data

The Four Reusable Artifacts Compared

How to Get the Anna Echo

How do you get the Anna Echo?

Finish the North Bastion story first: in I Know This Place you switch on Anna’s Reconstruction Unit and get Dolly. Then take the Oath Token to Anna’s hologram in the laboratory, and she gives you the Anna Echo.

With the Oath Token already in your backpack when you switch the unit on, the Anna Echo may arrive together with Dolly.

Not confirmed yet

See also: I Know This Place: all six modules for Anna · North Bastion guide

Why did I only get Dolly?

Got only Dolly? That is the usual first result. Fetch the Oath Token, which may still be sitting in a Lazarus Pod from your last human, and carry it to Anna.

See also: where the Oath Token is

Where is the Oath Token?

In The Fourth Chamber, a hidden underwater cave that Update 5 added, at map coordinates about 109, -33. The Oath Token is in the loot inside.

See also: Oath Token: the statue puzzle step by step

What the Anna Echo Does

What does the Anna Echo do?

Put it in a Lazarus Pod while a human grows and it adds 100 to each of the ten attributes, from Adaptability to Wisdom. That is twice what the Oath Token gives.

It is an artifact, the top kind of memory item, and weighs 3 kg, the same as the Oath Token.

See also: memory targets for each profession

Is the Anna Echo used up?

No. Like the Oath Token, it is not used up when a human grows, so you can put it back in for the next one.

See also: Lazarus Human Calculator

Can Anna come with you?

Anna’s hologram stays in North Bastion, and her interactions and dialogue stay available after the storyline ends.

See also: getting back to North Bastion

All Four Reusable Artifacts

How many artifacts are there?

There are four reusable artifacts: the Anna Echo, Dolly, the Oath Token and A Future without Him. None of them is used up when a human grows.

What does Dolly give?

Dolly is the reward for switching Anna’s unit back on. It adds 500 Empathy, 50 to Adaptability, Communication, Creativity, Discipline and Focus, and 10 to Leadership, Logic, Patience and Wisdom.

See also: switching on Anna’s unit

Where is A Future without Him?

A Future without Him lies in Aron’s room at North Deep Intake Station and belongs to the Memory for Aron questline that Update 5.5 added. It adds 5 to each attribute and weighs 0.1 kg.

Memory for Aron may not start at the station at all, but from the Rising Tide game on a PECO terminal once you reach 300 points.

Not confirmed yet

See also: North Deep Intake Station on the map

Official sources and wiki